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Finding the Fourth Proportional to 3,498.69, 4,830.40 and 2,423.89

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Solution

The fourth proportional to 3,498.69, 4,830.40 and 2,423.89 is: 3,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.69 : 4,830.40 = 2,423.89 : x
  2. Step 2: Convert to fraction form
    3,498.69/4,830.40 = 2,423.89/x
  3. Step 3: Cross multiply
    3,498.69x = 4,830.40 × 2,423.89
  4. Step 4: Simplify right side
    3,498.69x = 11,708,367.32
  5. Step 5: Solve for x
    x = 11,708,367.32/3,498.69
  6. Step 6: Final answer
    x = 3,346.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.